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55909284480 = 273657171953
BaseRepresentation
bin110100000100011100…
…111111101010000000
312100022102011221000000
4310010130333222000
51404000234100410
641403454000000
74016325035250
oct640434775200
9170272157000
1055909284480
1121790373a35
12aa03aa6000
1353700c5c6a
1429c5487960
1516c355ddc0
hexd0473fa80

55909284480 has 1792 divisors, whose sum is σ = 260074540800. Its totient is φ = 11179524096.

The previous prime is 55909284451. The next prime is 55909284503. The reversal of 55909284480 is 8448290955.

It is a happy number.

55909284480 is a `hidden beast` number, since 5 + 590 + 9 + 2 + 8 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1054892134 + ... + 1054892186.

Almost surely, 255909284480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55909284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130037270400).

55909284480 is an abundant number, since it is smaller than the sum of its proper divisors (204165256320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55909284480 is a wasteful number, since it uses less digits than its factorization.

55909284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 55909284480 in words is "fifty-five billion, nine hundred nine million, two hundred eighty-four thousand, four hundred eighty".